Physics makes particular use of calculus; all concepts in classical mechanics andelectromagnetism are interrelated through calculus. The mass of an object of known density, themoment of inertia of objects, as well as the total energy of an object within a conservative field can be found by the use of calculus. An example of the use of calculus in mechanics is Newton's second law of motion: historically stated it expressly uses the term "rate of change" which refers to the derivative saying Therate of changeof momentum of a body is equal to the resultant force acting on the body and is in the same direction. Commonly expressed today as Force = Mass × acceleration, it involves differential calculus because acceleration is the time derivative of velocity or second time derivative of trajectory or spatial position. Starting from knowing how an object is accelerating, we use calculus to derive its path.

Maxwell's theory of electromagnetism and Einstein's theory of general relativity are also expressed in the language of differential calculus. Chemistry also uses calculus in determining reaction rates and radioactive decay. In biology, population dynamics starts with reproduction and death rates to model population changes.

Calculus can be used in conjunction with other mathematical disciplines. For example, it can be used with linear algebra to find the "best fit" linear approximation for a set of points in a domain. Or it can be used in probability theory to determine the probability of a continuous random variable from an assumed density function. In analytic geometry, the study of graphs of functions, calculus is used to find high points and low points (maxima and minima), slope, concavity and inflection points.

Green's Theorem, which gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C, is applied in an instrument known as a planimeter which is used to calculate the area of a flat surface on a drawing. For example, it can be used to calculate the amount of area taken up by an irregularly shaped flower bed or swimming pool when designing the layout of a piece of property.

Discrete Green's Theorem, which gives the relationship between a double integral of a function around a simple closed rectangular curve Cand a linear combination of the antiderivative's values at corner points along the edge of the curve, allows fast calculation of sums of values in rectangular domains. For example, it can be used to efficiently calculate sums of rectangular domains in images, in order to rapidly extract features and detect object - see also the summed area table algorithm.

In the realm of medicine, calculus can be used to find the optimal branching angle of a blood vessel so as to maximize flow. From the decay laws for a particular drug's elimination from the body, it's used to derive dosing laws. In nuclear medicine, it's used to build models of radiation transport in targeted tumor therapies.

In economics, calculus allows for the determination of maximal profit by providing a way to easily calculate both marginal cost and marginal revenue.

Calculus is also used to find approximate solutions to equations; in practice it's the standard way to solve differential equations and do root finding in most applications. Examples are methods such as Newton's method, fixed point iteration, and linear approximation. For instance, spacecraft use a variation of the Euler method to approximate curved courses within zero gravity environments.

Kami terinspirasi

A Vast and most Excellent Science
How often at night
When the heavens were bright
with the light of the glittering Star and Moon
have I stood there amazed and asked as I gazed
if their glory exceeds that of ours.
-Anonymous&H2O-

Anyone who has never made a mistake has never tried anything new.-Albert Einstein-

The Atom and the Quantum
Hail to Max Planck, Einstein, Bohr, Pauli, Broglie, Schrödinger, Feynman,
and Young man in the Future from the worshipful! You are the Master by
whom we are led. Awed by your cryptic and proud affirmations. Each of us,
driven half out of their head, still remains true to you
wouldn't say boo to you, Swallows your theories from Alpha to Zed,
Even if (drink to him, tankards must clink to him!) None of us fathoms
a word you have said
-George G.& H2O-

Particles and Waves
We are trapped by language to such
a degree that every attempt to formulate
insight is a play on words.
(2πrmv = n h)
n = 2πr/λ
n = an integral number
λ = wave length
h = Planck's Constant
2πr = Circle's Constant (Orbit equation)
-Niels Bohr& -H2O-

Does God Play Dice?

But you tell me of an invisible planetary system
where electrons gravitate around a nucleus. You explain
this to me with an image, I realize then that you have been
reduced to poetry:
" I shall never know. I have the time to become indignant?
you have changed theories. so that the sciences that was
to teach me everything ends up in a hypothesis,
that lucidity founders in metaphor, that uncertainty
is resolved in a work of art

-A.Camus, The Myth of Sisyphus.-

Schrödinger's Cat
The law of chaos is the law
of ideas, of improvisations
and seasons of belief

The Dreams stuff is made of

Like a gleam in the darkness, we have appeared
for an instant from the black nothingness of the
ever-unconscious matter, in order to make good
the demands of reason and create a life worthy
of ourselves and of the Goal we only dimly perceive
-Andrei Sakharov-

Quantum field Theories
"The nature of a field is completely determined by
the properties of the particle that transmit it,
while the nature of a particle depends solely on
the ways in, which it couples to fields.
QED = Quantum Electrodynamic
α = e2/ħc
QCD = Quantum Color Dynamic (Quantum Foam)
rp = Second root of Għ/c3 = 1,6 x 10-35(power) it is Planck's Length
-Richard Feynman,Julian Schwinger, Murray Gell-mann and George zweig
&
-H2O-

The whole Shebang
I am astounded by people who want
to "know" the universe when it's hard
enough to find your way around the world
-H2O-